A tensile fastener used in the rotor of a helicopter is composed of three parallel aluminum tensile rods arranged in series with two parallel steel tensile rods as simplified in the figure below. P(t) The aluminum rods are selected randomly from two batches of material with different shifted Weibull distributions having probability density k: e-()for >0 Batch 1 has elastic moduus given by El 11,000-X1 ksi where X, is a Weibull random variable with probability density given above with shape parameters k -2 and scale parameter 1 540 Batch 2 has elastic modulus given by E2-10.500-X2 ksi where X2 is a Weibull random variable with probability density given above with shape parameters k 2 and scale parameter X1-216 There is a 70% chance that a bar is selected from batch 1 and a 30% that a bar is selected from batch 2. The steel rods are selected from a single batch with elastic modulus given by E = 28.000+ X ksi where X is a random variable with Gamma distribution having probability density rk-le- for x > 0 with shape parameter k -2 and scale parameter 6-500 Write Python code that: (a) Plots the probability densi lof a random variable Y representing the elastic modulus of an aluminum rod A tensile fastener used in the rotor of a helicopter is composed of three parallel aluminum tensile rods arranged in series with two parallel steel tensile rods as simplified in the figure below. P(t) The aluminum rods are selected randomly from two batches of material with different shifted Weibull distributions having probability density k: e-()for >0 Batch 1 has elastic moduus given by El 11,000-X1 ksi where X, is a Weibull random variable with probability density given above with shape parameters k -2 and scale parameter 1 540 Batch 2 has elastic modulus given by E2-10.500-X2 ksi where X2 is a Weibull random variable with probability density given above with shape parameters k 2 and scale parameter X1-216 There is a 70% chance that a bar is selected from batch 1 and a 30% that a bar is selected from batch 2. The steel rods are selected from a single batch with elastic modulus given by E = 28.000+ X ksi where X is a random variable with Gamma distribution having probability density rk-le- for x > 0 with shape parameter k -2 and scale parameter 6-500 Write Python code that: (a) Plots the probability densi lof a random variable Y representing the elastic modulus of an aluminum rod